What is the Least Common Multiple of 31978 and 31987?

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 31978 and 31987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31978 and 31987, than apply into the LCM equation.

GCF(31978,31987) = 1
LCM(31978,31987) = ( 31978 × 31987) / 1
LCM(31978,31987) = 1022880286 / 1
LCM(31978,31987) = 1022880286

Least Common Multiple (LCM) of 31978 and 31987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31978 and 31987. First we will calculate the prime factors of 31978 and 31987.

Prime Factorization of 31978

Prime Factorization of 31987

Now multiplying the highest exponent prime factors to calculate the LCM of 31978 and 31987.

LCM(31978,31987) = 2¹ × 59¹ × 271¹ × 29¹ × 1103¹
LCM(31978,31987) = 1022880286