What is the Least Common Multiple of 1077 and 1092?

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 1077 and 1092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1077 and 1092, than apply into the LCM equation.

GCF(1077,1092) = 3
LCM(1077,1092) = ( 1077 × 1092) / 3
LCM(1077,1092) = 1176084 / 3
LCM(1077,1092) = 392028

Least Common Multiple (LCM) of 1077 and 1092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1077 and 1092. First we will calculate the prime factors of 1077 and 1092.

Prime Factorization of 1077

Prime Factorization of 1092

Now multiplying the highest exponent prime factors to calculate the LCM of 1077 and 1092.

LCM(1077,1092) = 3¹ × 359¹ × 2² × 7¹ × 13¹
LCM(1077,1092) = 392028