What is the Least Common Multiple of 70658 and 70672?

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 70658 and 70672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70658 and 70672, than apply into the LCM equation.

GCF(70658,70672) = 14
LCM(70658,70672) = ( 70658 × 70672) / 14
LCM(70658,70672) = 4993542176 / 14
LCM(70658,70672) = 356681584

Least Common Multiple (LCM) of 70658 and 70672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70658 and 70672. First we will calculate the prime factors of 70658 and 70672.

Prime Factorization of 70658

Prime Factorization of 70672

Now multiplying the highest exponent prime factors to calculate the LCM of 70658 and 70672.

LCM(70658,70672) = 2⁴ × 7³ × 103¹ × 631¹
LCM(70658,70672) = 356681584