What is the Least Common Multiple of 77416 and 77434?

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 77416 and 77434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77416 and 77434, than apply into the LCM equation.

GCF(77416,77434) = 2
LCM(77416,77434) = ( 77416 × 77434) / 2
LCM(77416,77434) = 5994630544 / 2
LCM(77416,77434) = 2997315272

Least Common Multiple (LCM) of 77416 and 77434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77416 and 77434. First we will calculate the prime factors of 77416 and 77434.

Prime Factorization of 77416

Prime Factorization of 77434

Now multiplying the highest exponent prime factors to calculate the LCM of 77416 and 77434.

LCM(77416,77434) = 2³ × 9677¹ × 7¹ × 5531¹
LCM(77416,77434) = 2997315272