What is the Least Common Multiple of 69242 and 69251?

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 69242 and 69251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69242 and 69251, than apply into the LCM equation.

GCF(69242,69251) = 1
LCM(69242,69251) = ( 69242 × 69251) / 1
LCM(69242,69251) = 4795077742 / 1
LCM(69242,69251) = 4795077742

Least Common Multiple (LCM) of 69242 and 69251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69242 and 69251. First we will calculate the prime factors of 69242 and 69251.

Prime Factorization of 69242

Prime Factorization of 69251

Now multiplying the highest exponent prime factors to calculate the LCM of 69242 and 69251.

LCM(69242,69251) = 2¹ × 89¹ × 389¹ × 7¹ × 13¹ × 761¹
LCM(69242,69251) = 4795077742