What is the Least Common Multiple of 62244 and 62251?

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 62244 and 62251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62244 and 62251, than apply into the LCM equation.

GCF(62244,62251) = 7
LCM(62244,62251) = ( 62244 × 62251) / 7
LCM(62244,62251) = 3874751244 / 7
LCM(62244,62251) = 553535892

Least Common Multiple (LCM) of 62244 and 62251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62244 and 62251. First we will calculate the prime factors of 62244 and 62251.

Prime Factorization of 62244

Prime Factorization of 62251

Now multiplying the highest exponent prime factors to calculate the LCM of 62244 and 62251.

LCM(62244,62251) = 2² × 3² × 7¹ × 13¹ × 19¹ × 8893¹
LCM(62244,62251) = 553535892