What is the Least Common Multiple of 68152 and 68167?

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 68152 and 68167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68152 and 68167, than apply into the LCM equation.

GCF(68152,68167) = 1
LCM(68152,68167) = ( 68152 × 68167) / 1
LCM(68152,68167) = 4645717384 / 1
LCM(68152,68167) = 4645717384

Least Common Multiple (LCM) of 68152 and 68167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68152 and 68167. First we will calculate the prime factors of 68152 and 68167.

Prime Factorization of 68152

Prime Factorization of 68167

Now multiplying the highest exponent prime factors to calculate the LCM of 68152 and 68167.

LCM(68152,68167) = 2³ × 7¹ × 1217¹ × 11¹ × 6197¹
LCM(68152,68167) = 4645717384