What is the Least Common Multiple of 75628 and 75642?

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 75628 and 75642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75628 and 75642, than apply into the LCM equation.

GCF(75628,75642) = 14
LCM(75628,75642) = ( 75628 × 75642) / 14
LCM(75628,75642) = 5720653176 / 14
LCM(75628,75642) = 408618084

Least Common Multiple (LCM) of 75628 and 75642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75628 and 75642. First we will calculate the prime factors of 75628 and 75642.

Prime Factorization of 75628

Prime Factorization of 75642

Now multiplying the highest exponent prime factors to calculate the LCM of 75628 and 75642.

LCM(75628,75642) = 2² × 7¹ × 37¹ × 73¹ × 3¹ × 1801¹
LCM(75628,75642) = 408618084