What is the Least Common Multiple of 69624 and 69641?

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 69624 and 69641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69624 and 69641, than apply into the LCM equation.

GCF(69624,69641) = 1
LCM(69624,69641) = ( 69624 × 69641) / 1
LCM(69624,69641) = 4848684984 / 1
LCM(69624,69641) = 4848684984

Least Common Multiple (LCM) of 69624 and 69641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69624 and 69641. First we will calculate the prime factors of 69624 and 69641.

Prime Factorization of 69624

Prime Factorization of 69641

Now multiplying the highest exponent prime factors to calculate the LCM of 69624 and 69641.

LCM(69624,69641) = 2³ × 3² × 967¹ × 11¹ × 13¹ × 487¹
LCM(69624,69641) = 4848684984