What is the Least Common Multiple of 62274 and 62282?

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 62282 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 62282, than apply into the LCM equation.

GCF(62274,62282) = 2
LCM(62274,62282) = ( 62274 × 62282) / 2
LCM(62274,62282) = 3878549268 / 2
LCM(62274,62282) = 1939274634

Least Common Multiple (LCM) of 62274 and 62282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62274 and 62282. First we will calculate the prime factors of 62274 and 62282.

Prime Factorization of 62274

Prime Factorization of 62282

Now multiplying the highest exponent prime factors to calculate the LCM of 62274 and 62282.

LCM(62274,62282) = 2¹ × 3¹ × 97¹ × 107¹ × 11¹ × 19¹ × 149¹
LCM(62274,62282) = 1939274634