What is the Least Common Multiple of 75880 and 75894?

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 75880 and 75894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75880 and 75894, than apply into the LCM equation.

GCF(75880,75894) = 14
LCM(75880,75894) = ( 75880 × 75894) / 14
LCM(75880,75894) = 5758836720 / 14
LCM(75880,75894) = 411345480

Least Common Multiple (LCM) of 75880 and 75894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75880 and 75894. First we will calculate the prime factors of 75880 and 75894.

Prime Factorization of 75880

Prime Factorization of 75894

Now multiplying the highest exponent prime factors to calculate the LCM of 75880 and 75894.

LCM(75880,75894) = 2³ × 5¹ × 7¹ × 271¹ × 3¹ × 13¹ × 139¹
LCM(75880,75894) = 411345480