What is the Least Common Multiple of 61980 and 61989?

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 61980 and 61989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61980 and 61989, than apply into the LCM equation.

GCF(61980,61989) = 3
LCM(61980,61989) = ( 61980 × 61989) / 3
LCM(61980,61989) = 3842078220 / 3
LCM(61980,61989) = 1280692740

Least Common Multiple (LCM) of 61980 and 61989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61980 and 61989. First we will calculate the prime factors of 61980 and 61989.

Prime Factorization of 61980

Prime Factorization of 61989

Now multiplying the highest exponent prime factors to calculate the LCM of 61980 and 61989.

LCM(61980,61989) = 2² × 3¹ × 5¹ × 1033¹ × 20663¹
LCM(61980,61989) = 1280692740