What is the Least Common Multiple of 56049 and 56066?

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 56049 and 56066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56049 and 56066, than apply into the LCM equation.

GCF(56049,56066) = 17
LCM(56049,56066) = ( 56049 × 56066) / 17
LCM(56049,56066) = 3142443234 / 17
LCM(56049,56066) = 184849602

Least Common Multiple (LCM) of 56049 and 56066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56049 and 56066. First we will calculate the prime factors of 56049 and 56066.

Prime Factorization of 56049

Prime Factorization of 56066

Now multiplying the highest exponent prime factors to calculate the LCM of 56049 and 56066.

LCM(56049,56066) = 3¹ × 7¹ × 17² × 157¹ × 2¹ × 97¹
LCM(56049,56066) = 184849602