What is the Least Common Multiple of 7678 and 7692?

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 7678 and 7692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7678 and 7692, than apply into the LCM equation.

GCF(7678,7692) = 2
LCM(7678,7692) = ( 7678 × 7692) / 2
LCM(7678,7692) = 59059176 / 2
LCM(7678,7692) = 29529588

Least Common Multiple (LCM) of 7678 and 7692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7678 and 7692. First we will calculate the prime factors of 7678 and 7692.

Prime Factorization of 7678

Prime Factorization of 7692

Now multiplying the highest exponent prime factors to calculate the LCM of 7678 and 7692.

LCM(7678,7692) = 2² × 11¹ × 349¹ × 3¹ × 641¹
LCM(7678,7692) = 29529588