What is the Least Common Multiple of 30672 and 30679?

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 30672 and 30679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30672 and 30679, than apply into the LCM equation.

GCF(30672,30679) = 1
LCM(30672,30679) = ( 30672 × 30679) / 1
LCM(30672,30679) = 940986288 / 1
LCM(30672,30679) = 940986288

Least Common Multiple (LCM) of 30672 and 30679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30672 and 30679. First we will calculate the prime factors of 30672 and 30679.

Prime Factorization of 30672

Prime Factorization of 30679

Now multiplying the highest exponent prime factors to calculate the LCM of 30672 and 30679.

LCM(30672,30679) = 2⁴ × 3³ × 71¹ × 11¹ × 2789¹
LCM(30672,30679) = 940986288