What is the Least Common Multiple of 615 and 628?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 615 and 628 is 386220.
LCM(615,628) = 386220
Least Common Multiple of 615 and 628 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 615 and 628, than apply into the LCM equation.
GCF(615,628) = 1
LCM(615,628) = ( 615 × 628) / 1
LCM(615,628) = 386220 / 1
LCM(615,628) = 386220
Least Common Multiple (LCM) of 615 and 628 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 615 and 628. First we will calculate the prime factors of 615 and 628.
Prime Factorization of 615
Prime factors of 615 are 3, 5, 41. Prime factorization of 615 in exponential form is:
615 = 31 × 51 × 411
Prime Factorization of 628
Prime factors of 628 are 2, 157. Prime factorization of 628 in exponential form is:
628 = 22 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 615 and 628.
LCM(615,628) = 31 × 51 × 411 × 22 × 1571
LCM(615,628) = 386220
Related Least Common Multiples of 615
- LCM of 615 and 619
- LCM of 615 and 620
- LCM of 615 and 621
- LCM of 615 and 622
- LCM of 615 and 623
- LCM of 615 and 624
- LCM of 615 and 625
- LCM of 615 and 626
- LCM of 615 and 627
- LCM of 615 and 628
- LCM of 615 and 629
- LCM of 615 and 630
- LCM of 615 and 631
- LCM of 615 and 632
- LCM of 615 and 633
- LCM of 615 and 634
- LCM of 615 and 635
Related Least Common Multiples of 628
- LCM of 628 and 632
- LCM of 628 and 633
- LCM of 628 and 634
- LCM of 628 and 635
- LCM of 628 and 636
- LCM of 628 and 637
- LCM of 628 and 638
- LCM of 628 and 639
- LCM of 628 and 640
- LCM of 628 and 641
- LCM of 628 and 642
- LCM of 628 and 643
- LCM of 628 and 644
- LCM of 628 and 645
- LCM of 628 and 646
- LCM of 628 and 647
- LCM of 628 and 648