What is the Least Common Multiple of 73135 and 73144?

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 73135 and 73144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73135 and 73144, than apply into the LCM equation.

GCF(73135,73144) = 1
LCM(73135,73144) = ( 73135 × 73144) / 1
LCM(73135,73144) = 5349386440 / 1
LCM(73135,73144) = 5349386440

Least Common Multiple (LCM) of 73135 and 73144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73135 and 73144. First we will calculate the prime factors of 73135 and 73144.

Prime Factorization of 73135

Prime Factorization of 73144

Now multiplying the highest exponent prime factors to calculate the LCM of 73135 and 73144.

LCM(73135,73144) = 5¹ × 14627¹ × 2³ × 41¹ × 223¹
LCM(73135,73144) = 5349386440