What is the Least Common Multiple of 52980 and 52985?

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 52980 and 52985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52980 and 52985, than apply into the LCM equation.

GCF(52980,52985) = 5
LCM(52980,52985) = ( 52980 × 52985) / 5
LCM(52980,52985) = 2807145300 / 5
LCM(52980,52985) = 561429060

Least Common Multiple (LCM) of 52980 and 52985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52980 and 52985. First we will calculate the prime factors of 52980 and 52985.

Prime Factorization of 52980

Prime Factorization of 52985

Now multiplying the highest exponent prime factors to calculate the LCM of 52980 and 52985.

LCM(52980,52985) = 2² × 3¹ × 5¹ × 883¹ × 10597¹
LCM(52980,52985) = 561429060