What is the Least Common Multiple of 77708 and 77726?

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 77708 and 77726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77708 and 77726, than apply into the LCM equation.

GCF(77708,77726) = 2
LCM(77708,77726) = ( 77708 × 77726) / 2
LCM(77708,77726) = 6039932008 / 2
LCM(77708,77726) = 3019966004

Least Common Multiple (LCM) of 77708 and 77726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77708 and 77726. First we will calculate the prime factors of 77708 and 77726.

Prime Factorization of 77708

Prime Factorization of 77726

Now multiplying the highest exponent prime factors to calculate the LCM of 77708 and 77726.

LCM(77708,77726) = 2² × 19427¹ × 11¹ × 3533¹
LCM(77708,77726) = 3019966004