What is the Least Common Multiple of 31542 and 31552?

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 31542 and 31552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31542 and 31552, than apply into the LCM equation.

GCF(31542,31552) = 2
LCM(31542,31552) = ( 31542 × 31552) / 2
LCM(31542,31552) = 995213184 / 2
LCM(31542,31552) = 497606592

Least Common Multiple (LCM) of 31542 and 31552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31542 and 31552. First we will calculate the prime factors of 31542 and 31552.

Prime Factorization of 31542

Prime Factorization of 31552

Now multiplying the highest exponent prime factors to calculate the LCM of 31542 and 31552.

LCM(31542,31552) = 2⁶ × 3¹ × 7¹ × 751¹ × 17¹ × 29¹
LCM(31542,31552) = 497606592