What is the Least Common Multiple of 31654 and 31660?

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 31654 and 31660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31654 and 31660, than apply into the LCM equation.

GCF(31654,31660) = 2
LCM(31654,31660) = ( 31654 × 31660) / 2
LCM(31654,31660) = 1002165640 / 2
LCM(31654,31660) = 501082820

Least Common Multiple (LCM) of 31654 and 31660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31654 and 31660. First we will calculate the prime factors of 31654 and 31660.

Prime Factorization of 31654

Prime Factorization of 31660

Now multiplying the highest exponent prime factors to calculate the LCM of 31654 and 31660.

LCM(31654,31660) = 2² × 7² × 17¹ × 19¹ × 5¹ × 1583¹
LCM(31654,31660) = 501082820