What is the Least Common Multiple of 77016 and 77034?

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 77016 and 77034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77016 and 77034, than apply into the LCM equation.

GCF(77016,77034) = 6
LCM(77016,77034) = ( 77016 × 77034) / 6
LCM(77016,77034) = 5932850544 / 6
LCM(77016,77034) = 988808424

Least Common Multiple (LCM) of 77016 and 77034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77016 and 77034. First we will calculate the prime factors of 77016 and 77034.

Prime Factorization of 77016

Prime Factorization of 77034

Now multiplying the highest exponent prime factors to calculate the LCM of 77016 and 77034.

LCM(77016,77034) = 2³ × 3¹ × 3209¹ × 37¹ × 347¹
LCM(77016,77034) = 988808424