What is the Least Common Multiple of 61712 and 61731?

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 of 61712 and 61731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61712 and 61731, than apply into the LCM equation.

GCF(61712,61731) = 19
LCM(61712,61731) = ( 61712 × 61731) / 19
LCM(61712,61731) = 3809543472 / 19
LCM(61712,61731) = 200502288

Least Common Multiple (LCM) of 61712 and 61731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61712 and 61731. First we will calculate the prime factors of 61712 and 61731.

Prime Factorization of 61712

Prime Factorization of 61731

Now multiplying the highest exponent prime factors to calculate the LCM of 61712 and 61731.

LCM(61712,61731) = 2⁴ × 7¹ × 19³ × 29¹ × 3²
LCM(61712,61731) = 200502288