What is the Least Common Multiple of 70220 and 70224?

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 70220 and 70224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70220 and 70224, than apply into the LCM equation.

GCF(70220,70224) = 4
LCM(70220,70224) = ( 70220 × 70224) / 4
LCM(70220,70224) = 4931129280 / 4
LCM(70220,70224) = 1232782320

Least Common Multiple (LCM) of 70220 and 70224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70220 and 70224. First we will calculate the prime factors of 70220 and 70224.

Prime Factorization of 70220

Prime Factorization of 70224

Now multiplying the highest exponent prime factors to calculate the LCM of 70220 and 70224.

LCM(70220,70224) = 2⁴ × 5¹ × 3511¹ × 3¹ × 7¹ × 11¹ × 19¹
LCM(70220,70224) = 1232782320