What is the Least Common Multiple of 615 and 626?
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 626 is 384990.
LCM(615,626) = 384990
Least Common Multiple of 615 and 626 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 626, than apply into the LCM equation.
GCF(615,626) = 1
LCM(615,626) = ( 615 × 626) / 1
LCM(615,626) = 384990 / 1
LCM(615,626) = 384990
Least Common Multiple (LCM) of 615 and 626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 615 and 626. First we will calculate the prime factors of 615 and 626.
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 626
Prime factors of 626 are 2, 313. Prime factorization of 626 in exponential form is:
626 = 21 × 3131
Now multiplying the highest exponent prime factors to calculate the LCM of 615 and 626.
LCM(615,626) = 31 × 51 × 411 × 21 × 3131
LCM(615,626) = 384990
Related Least Common Multiples of 615
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- LCM of 615 and 625
- LCM of 615 and 626
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Related Least Common Multiples of 626
- LCM of 626 and 630
- LCM of 626 and 631
- LCM of 626 and 632
- LCM of 626 and 633
- LCM of 626 and 634
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