What is the Least Common Multiple of 61022 and 61034?

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 61022 and 61034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61022 and 61034, than apply into the LCM equation.

GCF(61022,61034) = 2
LCM(61022,61034) = ( 61022 × 61034) / 2
LCM(61022,61034) = 3724416748 / 2
LCM(61022,61034) = 1862208374

Least Common Multiple (LCM) of 61022 and 61034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61022 and 61034. First we will calculate the prime factors of 61022 and 61034.

Prime Factorization of 61022

Prime Factorization of 61034

Now multiplying the highest exponent prime factors to calculate the LCM of 61022 and 61034.

LCM(61022,61034) = 2¹ × 13¹ × 2347¹ × 30517¹
LCM(61022,61034) = 1862208374