What is the Least Common Multiple of 77170 and 77188?

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 77170 and 77188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77170 and 77188, than apply into the LCM equation.

GCF(77170,77188) = 2
LCM(77170,77188) = ( 77170 × 77188) / 2
LCM(77170,77188) = 5956597960 / 2
LCM(77170,77188) = 2978298980

Least Common Multiple (LCM) of 77170 and 77188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77170 and 77188. First we will calculate the prime factors of 77170 and 77188.

Prime Factorization of 77170

Prime Factorization of 77188

Now multiplying the highest exponent prime factors to calculate the LCM of 77170 and 77188.

LCM(77170,77188) = 2² × 5¹ × 7717¹ × 23¹ × 839¹
LCM(77170,77188) = 2978298980