What is the Least Common Multiple of 77985 and 77990?

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 77985 and 77990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77985 and 77990, than apply into the LCM equation.

GCF(77985,77990) = 5
LCM(77985,77990) = ( 77985 × 77990) / 5
LCM(77985,77990) = 6082050150 / 5
LCM(77985,77990) = 1216410030

Least Common Multiple (LCM) of 77985 and 77990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77985 and 77990. First we will calculate the prime factors of 77985 and 77990.

Prime Factorization of 77985

Prime Factorization of 77990

Now multiplying the highest exponent prime factors to calculate the LCM of 77985 and 77990.

LCM(77985,77990) = 3² × 5¹ × 1733¹ × 2¹ × 11¹ × 709¹
LCM(77985,77990) = 1216410030