What is the Least Common Multiple of 70152 and 70171?

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 70171 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 70171, than apply into the LCM equation.

GCF(70152,70171) = 1
LCM(70152,70171) = ( 70152 × 70171) / 1
LCM(70152,70171) = 4922635992 / 1
LCM(70152,70171) = 4922635992

Least Common Multiple (LCM) of 70152 and 70171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70152 and 70171. First we will calculate the prime factors of 70152 and 70171.

Prime Factorization of 70152

Prime Factorization of 70171

Now multiplying the highest exponent prime factors to calculate the LCM of 70152 and 70171.

LCM(70152,70171) = 2³ × 3¹ × 37¹ × 79¹ × 47¹ × 1493¹
LCM(70152,70171) = 4922635992