What is the Least Common Multiple of 42966 and 42977?

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 42966 and 42977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42966 and 42977, than apply into the LCM equation.

GCF(42966,42977) = 11
LCM(42966,42977) = ( 42966 × 42977) / 11
LCM(42966,42977) = 1846549782 / 11
LCM(42966,42977) = 167868162

Least Common Multiple (LCM) of 42966 and 42977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42966 and 42977. First we will calculate the prime factors of 42966 and 42977.

Prime Factorization of 42966

Prime Factorization of 42977

Now multiplying the highest exponent prime factors to calculate the LCM of 42966 and 42977.

LCM(42966,42977) = 2¹ × 3² × 7¹ × 11¹ × 31¹ × 3907¹
LCM(42966,42977) = 167868162