What is the Least Common Multiple of 615 and 630?
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 630 is 25830.
LCM(615,630) = 25830
Least Common Multiple of 615 and 630 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 630, than apply into the LCM equation.
GCF(615,630) = 15
LCM(615,630) = ( 615 × 630) / 15
LCM(615,630) = 387450 / 15
LCM(615,630) = 25830
Least Common Multiple (LCM) of 615 and 630 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 615 and 630. First we will calculate the prime factors of 615 and 630.
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 630
Prime factors of 630 are 2, 3, 5, 7. Prime factorization of 630 in exponential form is:
630 = 21 × 32 × 51 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 615 and 630.
LCM(615,630) = 32 × 51 × 411 × 21 × 71
LCM(615,630) = 25830
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