What is the Least Common Multiple of 67077 and 67092?

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 67077 and 67092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67077 and 67092, than apply into the LCM equation.

GCF(67077,67092) = 3
LCM(67077,67092) = ( 67077 × 67092) / 3
LCM(67077,67092) = 4500330084 / 3
LCM(67077,67092) = 1500110028

Least Common Multiple (LCM) of 67077 and 67092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67077 and 67092. First we will calculate the prime factors of 67077 and 67092.

Prime Factorization of 67077

Prime Factorization of 67092

Now multiplying the highest exponent prime factors to calculate the LCM of 67077 and 67092.

LCM(67077,67092) = 3² × 29¹ × 257¹ × 2² × 5591¹
LCM(67077,67092) = 1500110028