What is the Least Common Multiple of 61012 and 61031?

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 61012 and 61031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61012 and 61031, than apply into the LCM equation.

GCF(61012,61031) = 1
LCM(61012,61031) = ( 61012 × 61031) / 1
LCM(61012,61031) = 3723623372 / 1
LCM(61012,61031) = 3723623372

Least Common Multiple (LCM) of 61012 and 61031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61012 and 61031. First we will calculate the prime factors of 61012 and 61031.

Prime Factorization of 61012

Prime Factorization of 61031

Now multiplying the highest exponent prime factors to calculate the LCM of 61012 and 61031.

LCM(61012,61031) = 2² × 7¹ × 2179¹ × 61031¹
LCM(61012,61031) = 3723623372