What is the Least Common Multiple of 79552 and 79569?

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 79552 and 79569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79552 and 79569, than apply into the LCM equation.

GCF(79552,79569) = 1
LCM(79552,79569) = ( 79552 × 79569) / 1
LCM(79552,79569) = 6329873088 / 1
LCM(79552,79569) = 6329873088

Least Common Multiple (LCM) of 79552 and 79569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79552 and 79569. First we will calculate the prime factors of 79552 and 79569.

Prime Factorization of 79552

Prime Factorization of 79569

Now multiplying the highest exponent prime factors to calculate the LCM of 79552 and 79569.

LCM(79552,79569) = 2⁶ × 11¹ × 113¹ × 3³ × 7¹ × 421¹
LCM(79552,79569) = 6329873088