What is the Least Common Multiple of 32970 and 32978?

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 32970 and 32978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32970 and 32978, than apply into the LCM equation.

GCF(32970,32978) = 2
LCM(32970,32978) = ( 32970 × 32978) / 2
LCM(32970,32978) = 1087284660 / 2
LCM(32970,32978) = 543642330

Least Common Multiple (LCM) of 32970 and 32978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32970 and 32978. First we will calculate the prime factors of 32970 and 32978.

Prime Factorization of 32970

Prime Factorization of 32978

Now multiplying the highest exponent prime factors to calculate the LCM of 32970 and 32978.

LCM(32970,32978) = 2¹ × 3¹ × 5¹ × 7¹ × 157¹ × 11¹ × 1499¹
LCM(32970,32978) = 543642330