What is the Least Common Multiple of 75040 and 75048?

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 75040 and 75048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75040 and 75048, than apply into the LCM equation.

GCF(75040,75048) = 8
LCM(75040,75048) = ( 75040 × 75048) / 8
LCM(75040,75048) = 5631601920 / 8
LCM(75040,75048) = 703950240

Least Common Multiple (LCM) of 75040 and 75048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75040 and 75048. First we will calculate the prime factors of 75040 and 75048.

Prime Factorization of 75040

Prime Factorization of 75048

Now multiplying the highest exponent prime factors to calculate the LCM of 75040 and 75048.

LCM(75040,75048) = 2⁵ × 5¹ × 7¹ × 67¹ × 3¹ × 53¹ × 59¹
LCM(75040,75048) = 703950240