What is the Least Common Multiple of 7672 and 7690?

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 7672 and 7690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7672 and 7690, than apply into the LCM equation.

GCF(7672,7690) = 2
LCM(7672,7690) = ( 7672 × 7690) / 2
LCM(7672,7690) = 58997680 / 2
LCM(7672,7690) = 29498840

Least Common Multiple (LCM) of 7672 and 7690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7672 and 7690. First we will calculate the prime factors of 7672 and 7690.

Prime Factorization of 7672

Prime Factorization of 7690

Now multiplying the highest exponent prime factors to calculate the LCM of 7672 and 7690.

LCM(7672,7690) = 2³ × 7¹ × 137¹ × 5¹ × 769¹
LCM(7672,7690) = 29498840