What is the Least Common Multiple of 62274 and 62288?

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 62274 and 62288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62274 and 62288, than apply into the LCM equation.

GCF(62274,62288) = 2
LCM(62274,62288) = ( 62274 × 62288) / 2
LCM(62274,62288) = 3878922912 / 2
LCM(62274,62288) = 1939461456

Least Common Multiple (LCM) of 62274 and 62288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62274 and 62288. First we will calculate the prime factors of 62274 and 62288.

Prime Factorization of 62274

Prime Factorization of 62288

Now multiplying the highest exponent prime factors to calculate the LCM of 62274 and 62288.

LCM(62274,62288) = 2⁴ × 3¹ × 97¹ × 107¹ × 17¹ × 229¹
LCM(62274,62288) = 1939461456