What is the Least Common Multiple of 70152 and 70167?

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 70152 and 70167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70152 and 70167, than apply into the LCM equation.

GCF(70152,70167) = 3
LCM(70152,70167) = ( 70152 × 70167) / 3
LCM(70152,70167) = 4922355384 / 3
LCM(70152,70167) = 1640785128

Least Common Multiple (LCM) of 70152 and 70167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70152 and 70167. First we will calculate the prime factors of 70152 and 70167.

Prime Factorization of 70152

Prime Factorization of 70167

Now multiplying the highest exponent prime factors to calculate the LCM of 70152 and 70167.

LCM(70152,70167) = 2³ × 3¹ × 37¹ × 79¹ × 19¹ × 1231¹
LCM(70152,70167) = 1640785128