What is the Least Common Multiple of 61913 and 61931?

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 61913 and 61931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61913 and 61931, than apply into the LCM equation.

GCF(61913,61931) = 1
LCM(61913,61931) = ( 61913 × 61931) / 1
LCM(61913,61931) = 3834334003 / 1
LCM(61913,61931) = 3834334003

Least Common Multiple (LCM) of 61913 and 61931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61913 and 61931. First we will calculate the prime factors of 61913 and 61931.

Prime Factorization of 61913

Prime Factorization of 61931

Now multiplying the highest exponent prime factors to calculate the LCM of 61913 and 61931.

LCM(61913,61931) = 101¹ × 613¹ × 17¹ × 3643¹
LCM(61913,61931) = 3834334003