What is the Least Common Multiple of 70242 and 70251?

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 70242 and 70251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70242 and 70251, than apply into the LCM equation.

GCF(70242,70251) = 3
LCM(70242,70251) = ( 70242 × 70251) / 3
LCM(70242,70251) = 4934570742 / 3
LCM(70242,70251) = 1644856914

Least Common Multiple (LCM) of 70242 and 70251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70242 and 70251. First we will calculate the prime factors of 70242 and 70251.

Prime Factorization of 70242

Prime Factorization of 70251

Now multiplying the highest exponent prime factors to calculate the LCM of 70242 and 70251.

LCM(70242,70251) = 2¹ × 3¹ × 23¹ × 509¹ × 23417¹
LCM(70242,70251) = 1644856914