What is the Least Common Multiple of 38970 and 38976?

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 38970 and 38976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38970 and 38976, than apply into the LCM equation.

GCF(38970,38976) = 6
LCM(38970,38976) = ( 38970 × 38976) / 6
LCM(38970,38976) = 1518894720 / 6
LCM(38970,38976) = 253149120

Least Common Multiple (LCM) of 38970 and 38976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38970 and 38976. First we will calculate the prime factors of 38970 and 38976.

Prime Factorization of 38970

Prime Factorization of 38976

Now multiplying the highest exponent prime factors to calculate the LCM of 38970 and 38976.

LCM(38970,38976) = 2⁶ × 3² × 5¹ × 433¹ × 7¹ × 29¹
LCM(38970,38976) = 253149120