What is the Least Common Multiple of 31270 and 31276?

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 31270 and 31276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31270 and 31276, than apply into the LCM equation.

GCF(31270,31276) = 2
LCM(31270,31276) = ( 31270 × 31276) / 2
LCM(31270,31276) = 978000520 / 2
LCM(31270,31276) = 489000260

Least Common Multiple (LCM) of 31270 and 31276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31270 and 31276. First we will calculate the prime factors of 31270 and 31276.

Prime Factorization of 31270

Prime Factorization of 31276

Now multiplying the highest exponent prime factors to calculate the LCM of 31270 and 31276.

LCM(31270,31276) = 2² × 5¹ × 53¹ × 59¹ × 7¹ × 1117¹
LCM(31270,31276) = 489000260