What is the Least Common Multiple of 67139 and 67152?

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 67139 and 67152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67139 and 67152, than apply into the LCM equation.

GCF(67139,67152) = 1
LCM(67139,67152) = ( 67139 × 67152) / 1
LCM(67139,67152) = 4508518128 / 1
LCM(67139,67152) = 4508518128

Least Common Multiple (LCM) of 67139 and 67152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67139 and 67152. First we will calculate the prime factors of 67139 and 67152.

Prime Factorization of 67139

Prime Factorization of 67152

Now multiplying the highest exponent prime factors to calculate the LCM of 67139 and 67152.

LCM(67139,67152) = 67139¹ × 2⁴ × 3¹ × 1399¹
LCM(67139,67152) = 4508518128