What is the Least Common Multiple of 71352 and 71372?

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 71352 and 71372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71352 and 71372, than apply into the LCM equation.

GCF(71352,71372) = 4
LCM(71352,71372) = ( 71352 × 71372) / 4
LCM(71352,71372) = 5092534944 / 4
LCM(71352,71372) = 1273133736

Least Common Multiple (LCM) of 71352 and 71372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71352 and 71372. First we will calculate the prime factors of 71352 and 71372.

Prime Factorization of 71352

Prime Factorization of 71372

Now multiplying the highest exponent prime factors to calculate the LCM of 71352 and 71372.

LCM(71352,71372) = 2³ × 3² × 991¹ × 7¹ × 2549¹
LCM(71352,71372) = 1273133736