What is the Least Common Multiple of 75148 and 75164?

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 75148 and 75164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75148 and 75164, than apply into the LCM equation.

GCF(75148,75164) = 4
LCM(75148,75164) = ( 75148 × 75164) / 4
LCM(75148,75164) = 5648424272 / 4
LCM(75148,75164) = 1412106068

Least Common Multiple (LCM) of 75148 and 75164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75148 and 75164. First we will calculate the prime factors of 75148 and 75164.

Prime Factorization of 75148

Prime Factorization of 75164

Now multiplying the highest exponent prime factors to calculate the LCM of 75148 and 75164.

LCM(75148,75164) = 2² × 18787¹ × 19¹ × 23¹ × 43¹
LCM(75148,75164) = 1412106068