What is the Least Common Multiple of 75438 and 75457?

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 75438 and 75457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75438 and 75457, than apply into the LCM equation.

GCF(75438,75457) = 1
LCM(75438,75457) = ( 75438 × 75457) / 1
LCM(75438,75457) = 5692325166 / 1
LCM(75438,75457) = 5692325166

Least Common Multiple (LCM) of 75438 and 75457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75438 and 75457. First we will calculate the prime factors of 75438 and 75457.

Prime Factorization of 75438

Prime Factorization of 75457

Now multiplying the highest exponent prime factors to calculate the LCM of 75438 and 75457.

LCM(75438,75457) = 2¹ × 3³ × 11¹ × 127¹ × 61¹ × 1237¹
LCM(75438,75457) = 5692325166