What is the Least Common Multiple of 77052 and 77066?

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 77052 and 77066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77052 and 77066, than apply into the LCM equation.

GCF(77052,77066) = 2
LCM(77052,77066) = ( 77052 × 77066) / 2
LCM(77052,77066) = 5938089432 / 2
LCM(77052,77066) = 2969044716

Least Common Multiple (LCM) of 77052 and 77066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77052 and 77066. First we will calculate the prime factors of 77052 and 77066.

Prime Factorization of 77052

Prime Factorization of 77066

Now multiplying the highest exponent prime factors to calculate the LCM of 77052 and 77066.

LCM(77052,77066) = 2² × 3¹ × 6421¹ × 11¹ × 31¹ × 113¹
LCM(77052,77066) = 2969044716