What is the Least Common Multiple of 69946 and 69963?

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 69946 and 69963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69946 and 69963, than apply into the LCM equation.

GCF(69946,69963) = 1
LCM(69946,69963) = ( 69946 × 69963) / 1
LCM(69946,69963) = 4893631998 / 1
LCM(69946,69963) = 4893631998

Least Common Multiple (LCM) of 69946 and 69963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69946 and 69963. First we will calculate the prime factors of 69946 and 69963.

Prime Factorization of 69946

Prime Factorization of 69963

Now multiplying the highest exponent prime factors to calculate the LCM of 69946 and 69963.

LCM(69946,69963) = 2¹ × 41¹ × 853¹ × 3¹ × 23321¹
LCM(69946,69963) = 4893631998