What is the Least Common Multiple of 70280 and 70298?

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 70280 and 70298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70280 and 70298, than apply into the LCM equation.

GCF(70280,70298) = 2
LCM(70280,70298) = ( 70280 × 70298) / 2
LCM(70280,70298) = 4940543440 / 2
LCM(70280,70298) = 2470271720

Least Common Multiple (LCM) of 70280 and 70298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70280 and 70298. First we will calculate the prime factors of 70280 and 70298.

Prime Factorization of 70280

Prime Factorization of 70298

Now multiplying the highest exponent prime factors to calculate the LCM of 70280 and 70298.

LCM(70280,70298) = 2³ × 5¹ × 7¹ × 251¹ × 35149¹
LCM(70280,70298) = 2470271720