What is the Least Common Multiple of 70200 and 70214?

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 70200 and 70214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70200 and 70214, than apply into the LCM equation.

GCF(70200,70214) = 2
LCM(70200,70214) = ( 70200 × 70214) / 2
LCM(70200,70214) = 4929022800 / 2
LCM(70200,70214) = 2464511400

Least Common Multiple (LCM) of 70200 and 70214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70200 and 70214. First we will calculate the prime factors of 70200 and 70214.

Prime Factorization of 70200

Prime Factorization of 70214

Now multiplying the highest exponent prime factors to calculate the LCM of 70200 and 70214.

LCM(70200,70214) = 2³ × 3³ × 5² × 13¹ × 35107¹
LCM(70200,70214) = 2464511400