What is the Least Common Multiple of 73438 and 73457?

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 73438 and 73457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73438 and 73457, than apply into the LCM equation.

GCF(73438,73457) = 1
LCM(73438,73457) = ( 73438 × 73457) / 1
LCM(73438,73457) = 5394535166 / 1
LCM(73438,73457) = 5394535166

Least Common Multiple (LCM) of 73438 and 73457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73438 and 73457. First we will calculate the prime factors of 73438 and 73457.

Prime Factorization of 73438

Prime Factorization of 73457

Now multiplying the highest exponent prime factors to calculate the LCM of 73438 and 73457.

LCM(73438,73457) = 2¹ × 73¹ × 503¹ × 17¹ × 29¹ × 149¹
LCM(73438,73457) = 5394535166