What is the Least Common Multiple of 79540 and 79554?

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 79540 and 79554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79540 and 79554, than apply into the LCM equation.

GCF(79540,79554) = 2
LCM(79540,79554) = ( 79540 × 79554) / 2
LCM(79540,79554) = 6327725160 / 2
LCM(79540,79554) = 3163862580

Least Common Multiple (LCM) of 79540 and 79554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79540 and 79554. First we will calculate the prime factors of 79540 and 79554.

Prime Factorization of 79540

Prime Factorization of 79554

Now multiplying the highest exponent prime factors to calculate the LCM of 79540 and 79554.

LCM(79540,79554) = 2² × 5¹ × 41¹ × 97¹ × 3¹ × 13259¹
LCM(79540,79554) = 3163862580