What is the Least Common Multiple of 66148 and 66152?

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 66148 and 66152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66148 and 66152, than apply into the LCM equation.

GCF(66148,66152) = 4
LCM(66148,66152) = ( 66148 × 66152) / 4
LCM(66148,66152) = 4375822496 / 4
LCM(66148,66152) = 1093955624

Least Common Multiple (LCM) of 66148 and 66152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66148 and 66152. First we will calculate the prime factors of 66148 and 66152.

Prime Factorization of 66148

Prime Factorization of 66152

Now multiplying the highest exponent prime factors to calculate the LCM of 66148 and 66152.

LCM(66148,66152) = 2³ × 23¹ × 719¹ × 8269¹
LCM(66148,66152) = 1093955624