What is the Least Common Multiple of 74056 and 74060?

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 74056 and 74060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74056 and 74060, than apply into the LCM equation.

GCF(74056,74060) = 4
LCM(74056,74060) = ( 74056 × 74060) / 4
LCM(74056,74060) = 5484587360 / 4
LCM(74056,74060) = 1371146840

Least Common Multiple (LCM) of 74056 and 74060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74056 and 74060. First we will calculate the prime factors of 74056 and 74060.

Prime Factorization of 74056

Prime Factorization of 74060

Now multiplying the highest exponent prime factors to calculate the LCM of 74056 and 74060.

LCM(74056,74060) = 2³ × 9257¹ × 5¹ × 7¹ × 23²
LCM(74056,74060) = 1371146840