What is the Least Common Multiple of 62274 and 62283?

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 62283 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 62283, than apply into the LCM equation.

GCF(62274,62283) = 3
LCM(62274,62283) = ( 62274 × 62283) / 3
LCM(62274,62283) = 3878611542 / 3
LCM(62274,62283) = 1292870514

Least Common Multiple (LCM) of 62274 and 62283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62274 and 62283. First we will calculate the prime factors of 62274 and 62283.

Prime Factorization of 62274

Prime Factorization of 62283

Now multiplying the highest exponent prime factors to calculate the LCM of 62274 and 62283.

LCM(62274,62283) = 2¹ × 3¹ × 97¹ × 107¹ × 13¹ × 1597¹
LCM(62274,62283) = 1292870514