What is the Least Common Multiple of 77180 and 77198?

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 77198 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 77198, than apply into the LCM equation.

GCF(77180,77198) = 2
LCM(77180,77198) = ( 77180 × 77198) / 2
LCM(77180,77198) = 5958141640 / 2
LCM(77180,77198) = 2979070820

Least Common Multiple (LCM) of 77180 and 77198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77180 and 77198. First we will calculate the prime factors of 77180 and 77198.

Prime Factorization of 77180

Prime Factorization of 77198

Now multiplying the highest exponent prime factors to calculate the LCM of 77180 and 77198.

LCM(77180,77198) = 2² × 5¹ × 17¹ × 227¹ × 11³ × 29¹
LCM(77180,77198) = 2979070820