What is the Least Common Multiple of 77604 and 77624?

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 77604 and 77624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77604 and 77624, than apply into the LCM equation.

GCF(77604,77624) = 4
LCM(77604,77624) = ( 77604 × 77624) / 4
LCM(77604,77624) = 6023932896 / 4
LCM(77604,77624) = 1505983224

Least Common Multiple (LCM) of 77604 and 77624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77604 and 77624. First we will calculate the prime factors of 77604 and 77624.

Prime Factorization of 77604

Prime Factorization of 77624

Now multiplying the highest exponent prime factors to calculate the LCM of 77604 and 77624.

LCM(77604,77624) = 2³ × 3¹ × 29¹ × 223¹ × 31¹ × 313¹
LCM(77604,77624) = 1505983224