What is the Least Common Multiple of 615 and 632?
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 632 is 388680.
LCM(615,632) = 388680
Least Common Multiple of 615 and 632 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 632, than apply into the LCM equation.
GCF(615,632) = 1
LCM(615,632) = ( 615 × 632) / 1
LCM(615,632) = 388680 / 1
LCM(615,632) = 388680
Least Common Multiple (LCM) of 615 and 632 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 615 and 632. First we will calculate the prime factors of 615 and 632.
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 632
Prime factors of 632 are 2, 79. Prime factorization of 632 in exponential form is:
632 = 23 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 615 and 632.
LCM(615,632) = 31 × 51 × 411 × 23 × 791
LCM(615,632) = 388680
Related Least Common Multiples of 615
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- LCM of 615 and 625
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- LCM of 615 and 627
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- 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
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Related Least Common Multiples of 632
- LCM of 632 and 636
- LCM of 632 and 637
- LCM of 632 and 638
- LCM of 632 and 639
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