What is the Least Common Multiple of 70224 and 70240?

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 70224 and 70240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70224 and 70240, than apply into the LCM equation.

GCF(70224,70240) = 16
LCM(70224,70240) = ( 70224 × 70240) / 16
LCM(70224,70240) = 4932533760 / 16
LCM(70224,70240) = 308283360

Least Common Multiple (LCM) of 70224 and 70240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70224 and 70240. First we will calculate the prime factors of 70224 and 70240.

Prime Factorization of 70224

Prime Factorization of 70240

Now multiplying the highest exponent prime factors to calculate the LCM of 70224 and 70240.

LCM(70224,70240) = 2⁵ × 3¹ × 7¹ × 11¹ × 19¹ × 5¹ × 439¹
LCM(70224,70240) = 308283360