What is the Least Common Multiple of 70280 and 70295?

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 70295 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 70295, than apply into the LCM equation.

GCF(70280,70295) = 5
LCM(70280,70295) = ( 70280 × 70295) / 5
LCM(70280,70295) = 4940332600 / 5
LCM(70280,70295) = 988066520

Least Common Multiple (LCM) of 70280 and 70295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70280 and 70295. First we will calculate the prime factors of 70280 and 70295.

Prime Factorization of 70280

Prime Factorization of 70295

Now multiplying the highest exponent prime factors to calculate the LCM of 70280 and 70295.

LCM(70280,70295) = 2³ × 5¹ × 7¹ × 251¹ × 17¹ × 827¹
LCM(70280,70295) = 988066520