What is the Least Common Multiple of 31038 and 31057?

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 31038 and 31057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31038 and 31057, than apply into the LCM equation.

GCF(31038,31057) = 1
LCM(31038,31057) = ( 31038 × 31057) / 1
LCM(31038,31057) = 963947166 / 1
LCM(31038,31057) = 963947166

Least Common Multiple (LCM) of 31038 and 31057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31038 and 31057. First we will calculate the prime factors of 31038 and 31057.

Prime Factorization of 31038

Prime Factorization of 31057

Now multiplying the highest exponent prime factors to calculate the LCM of 31038 and 31057.

LCM(31038,31057) = 2¹ × 3¹ × 7¹ × 739¹ × 13¹ × 2389¹
LCM(31038,31057) = 963947166