What is the Least Common Multiple of 32970 and 32974?

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 32974 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 32974, than apply into the LCM equation.

GCF(32970,32974) = 2
LCM(32970,32974) = ( 32970 × 32974) / 2
LCM(32970,32974) = 1087152780 / 2
LCM(32970,32974) = 543576390

Least Common Multiple (LCM) of 32970 and 32974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32970 and 32974. First we will calculate the prime factors of 32970 and 32974.

Prime Factorization of 32970

Prime Factorization of 32974

Now multiplying the highest exponent prime factors to calculate the LCM of 32970 and 32974.

LCM(32970,32974) = 2¹ × 3¹ × 5¹ × 7¹ × 157¹ × 16487¹
LCM(32970,32974) = 543576390