What is the Least Common Multiple of 59731 and 59747?

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 59731 and 59747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59731 and 59747, than apply into the LCM equation.

GCF(59731,59747) = 1
LCM(59731,59747) = ( 59731 × 59747) / 1
LCM(59731,59747) = 3568748057 / 1
LCM(59731,59747) = 3568748057

Least Common Multiple (LCM) of 59731 and 59747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59731 and 59747. First we will calculate the prime factors of 59731 and 59747.

Prime Factorization of 59731

Prime Factorization of 59747

Now multiplying the highest exponent prime factors to calculate the LCM of 59731 and 59747.

LCM(59731,59747) = 7² × 23¹ × 53¹ × 59747¹
LCM(59731,59747) = 3568748057