What is the Least Common Multiple of 92946 and 92963?

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 92946 and 92963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92946 and 92963, than apply into the LCM equation.

GCF(92946,92963) = 1
LCM(92946,92963) = ( 92946 × 92963) / 1
LCM(92946,92963) = 8640538998 / 1
LCM(92946,92963) = 8640538998

Least Common Multiple (LCM) of 92946 and 92963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92946 and 92963. First we will calculate the prime factors of 92946 and 92963.

Prime Factorization of 92946

Prime Factorization of 92963

Now multiplying the highest exponent prime factors to calculate the LCM of 92946 and 92963.

LCM(92946,92963) = 2¹ × 3¹ × 7¹ × 2213¹ × 13¹ × 7151¹
LCM(92946,92963) = 8640538998