What is the Least Common Multiple of 77956 and 77974?

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 77956 and 77974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77956 and 77974, than apply into the LCM equation.

GCF(77956,77974) = 2
LCM(77956,77974) = ( 77956 × 77974) / 2
LCM(77956,77974) = 6078541144 / 2
LCM(77956,77974) = 3039270572

Least Common Multiple (LCM) of 77956 and 77974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77956 and 77974. First we will calculate the prime factors of 77956 and 77974.

Prime Factorization of 77956

Prime Factorization of 77974

Now multiplying the highest exponent prime factors to calculate the LCM of 77956 and 77974.

LCM(77956,77974) = 2² × 19489¹ × 13¹ × 2999¹
LCM(77956,77974) = 3039270572