What is the Least Common Multiple of 66053 and 66061?

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 66053 and 66061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66053 and 66061, than apply into the LCM equation.

GCF(66053,66061) = 1
LCM(66053,66061) = ( 66053 × 66061) / 1
LCM(66053,66061) = 4363527233 / 1
LCM(66053,66061) = 4363527233

Least Common Multiple (LCM) of 66053 and 66061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66053 and 66061. First we will calculate the prime factors of 66053 and 66061.

Prime Factorization of 66053

Prime Factorization of 66061

Now multiplying the highest exponent prime factors to calculate the LCM of 66053 and 66061.

LCM(66053,66061) = 13¹ × 5081¹ × 31¹ × 2131¹
LCM(66053,66061) = 4363527233