What is the Least Common Multiple of 77052 and 77070?

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 77070 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 77070, than apply into the LCM equation.

GCF(77052,77070) = 6
LCM(77052,77070) = ( 77052 × 77070) / 6
LCM(77052,77070) = 5938397640 / 6
LCM(77052,77070) = 989732940

Least Common Multiple (LCM) of 77052 and 77070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77052 and 77070. First we will calculate the prime factors of 77052 and 77070.

Prime Factorization of 77052

Prime Factorization of 77070

Now multiplying the highest exponent prime factors to calculate the LCM of 77052 and 77070.

LCM(77052,77070) = 2² × 3¹ × 6421¹ × 5¹ × 7¹ × 367¹
LCM(77052,77070) = 989732940