What is the Least Common Multiple of 53970 and 53982?

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 53970 and 53982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53970 and 53982, than apply into the LCM equation.

GCF(53970,53982) = 6
LCM(53970,53982) = ( 53970 × 53982) / 6
LCM(53970,53982) = 2913408540 / 6
LCM(53970,53982) = 485568090

Least Common Multiple (LCM) of 53970 and 53982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53970 and 53982. First we will calculate the prime factors of 53970 and 53982.

Prime Factorization of 53970

Prime Factorization of 53982

Now multiplying the highest exponent prime factors to calculate the LCM of 53970 and 53982.

LCM(53970,53982) = 2¹ × 3² × 5¹ × 7¹ × 257¹ × 2999¹
LCM(53970,53982) = 485568090