What is the Least Common Multiple of 77180 and 77199?

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 77180 and 77199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77180 and 77199, than apply into the LCM equation.

GCF(77180,77199) = 1
LCM(77180,77199) = ( 77180 × 77199) / 1
LCM(77180,77199) = 5958218820 / 1
LCM(77180,77199) = 5958218820

Least Common Multiple (LCM) of 77180 and 77199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77180 and 77199. First we will calculate the prime factors of 77180 and 77199.

Prime Factorization of 77180

Prime Factorization of 77199

Now multiplying the highest exponent prime factors to calculate the LCM of 77180 and 77199.

LCM(77180,77199) = 2² × 5¹ × 17¹ × 227¹ × 3¹ × 25733¹
LCM(77180,77199) = 5958218820