What is the Least Common Multiple of 79100 and 79104?

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 79100 and 79104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79100 and 79104, than apply into the LCM equation.

GCF(79100,79104) = 4
LCM(79100,79104) = ( 79100 × 79104) / 4
LCM(79100,79104) = 6257126400 / 4
LCM(79100,79104) = 1564281600

Least Common Multiple (LCM) of 79100 and 79104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79100 and 79104. First we will calculate the prime factors of 79100 and 79104.

Prime Factorization of 79100

Prime Factorization of 79104

Now multiplying the highest exponent prime factors to calculate the LCM of 79100 and 79104.

LCM(79100,79104) = 2⁸ × 5² × 7¹ × 113¹ × 3¹ × 103¹
LCM(79100,79104) = 1564281600