What is the Least Common Multiple of 61980 and 61985?

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 61985 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 61985, than apply into the LCM equation.

GCF(61980,61985) = 5
LCM(61980,61985) = ( 61980 × 61985) / 5
LCM(61980,61985) = 3841830300 / 5
LCM(61980,61985) = 768366060

Least Common Multiple (LCM) of 61980 and 61985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61980 and 61985. First we will calculate the prime factors of 61980 and 61985.

Prime Factorization of 61980

Prime Factorization of 61985

Now multiplying the highest exponent prime factors to calculate the LCM of 61980 and 61985.

LCM(61980,61985) = 2² × 3¹ × 5¹ × 1033¹ × 7² × 11¹ × 23¹
LCM(61980,61985) = 768366060