What is the Least Common Multiple of 45919 and 45939?

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 45919 and 45939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45919 and 45939, than apply into the LCM equation.

GCF(45919,45939) = 1
LCM(45919,45939) = ( 45919 × 45939) / 1
LCM(45919,45939) = 2109472941 / 1
LCM(45919,45939) = 2109472941

Least Common Multiple (LCM) of 45919 and 45939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45919 and 45939. First we will calculate the prime factors of 45919 and 45939.

Prime Factorization of 45919

Prime Factorization of 45939

Now multiplying the highest exponent prime factors to calculate the LCM of 45919 and 45939.

LCM(45919,45939) = 47¹ × 977¹ × 3¹ × 15313¹
LCM(45919,45939) = 2109472941