What is the Least Common Multiple of 31264 and 31270?

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 31264 and 31270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31264 and 31270, than apply into the LCM equation.

GCF(31264,31270) = 2
LCM(31264,31270) = ( 31264 × 31270) / 2
LCM(31264,31270) = 977625280 / 2
LCM(31264,31270) = 488812640

Least Common Multiple (LCM) of 31264 and 31270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31264 and 31270. First we will calculate the prime factors of 31264 and 31270.

Prime Factorization of 31264

Prime Factorization of 31270

Now multiplying the highest exponent prime factors to calculate the LCM of 31264 and 31270.

LCM(31264,31270) = 2⁵ × 977¹ × 5¹ × 53¹ × 59¹
LCM(31264,31270) = 488812640