What is the Least Common Multiple of 77190 and 77208?

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 77190 and 77208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77190 and 77208, than apply into the LCM equation.

GCF(77190,77208) = 6
LCM(77190,77208) = ( 77190 × 77208) / 6
LCM(77190,77208) = 5959685520 / 6
LCM(77190,77208) = 993280920

Least Common Multiple (LCM) of 77190 and 77208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77190 and 77208. First we will calculate the prime factors of 77190 and 77208.

Prime Factorization of 77190

Prime Factorization of 77208

Now multiplying the highest exponent prime factors to calculate the LCM of 77190 and 77208.

LCM(77190,77208) = 2³ × 3¹ × 5¹ × 31¹ × 83¹ × 3217¹
LCM(77190,77208) = 993280920