What is the Least Common Multiple of 77702 and 77722?

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 77702 and 77722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77702 and 77722, than apply into the LCM equation.

GCF(77702,77722) = 2
LCM(77702,77722) = ( 77702 × 77722) / 2
LCM(77702,77722) = 6039154844 / 2
LCM(77702,77722) = 3019577422

Least Common Multiple (LCM) of 77702 and 77722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77702 and 77722. First we will calculate the prime factors of 77702 and 77722.

Prime Factorization of 77702

Prime Factorization of 77722

Now multiplying the highest exponent prime factors to calculate the LCM of 77702 and 77722.

LCM(77702,77722) = 2¹ × 38851¹ × 38861¹
LCM(77702,77722) = 3019577422