What is the Least Common Multiple of 77986 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 77986 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 77986 and 77990, than apply into the LCM equation.

GCF(77986,77990) = 2
LCM(77986,77990) = ( 77986 × 77990) / 2
LCM(77986,77990) = 6082128140 / 2
LCM(77986,77990) = 3041064070

Least Common Multiple (LCM) of 77986 and 77990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77986 and 77990. First we will calculate the prime factors of 77986 and 77990.

Prime Factorization of 77986

Prime Factorization of 77990

Now multiplying the highest exponent prime factors to calculate the LCM of 77986 and 77990.

LCM(77986,77990) = 2¹ × 38993¹ × 5¹ × 11¹ × 709¹
LCM(77986,77990) = 3041064070