What is the Least Common Multiple of 62272 and 62292?

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 62272 and 62292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62272 and 62292, than apply into the LCM equation.

GCF(62272,62292) = 4
LCM(62272,62292) = ( 62272 × 62292) / 4
LCM(62272,62292) = 3879047424 / 4
LCM(62272,62292) = 969761856

Least Common Multiple (LCM) of 62272 and 62292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62272 and 62292. First we will calculate the prime factors of 62272 and 62292.

Prime Factorization of 62272

Prime Factorization of 62292

Now multiplying the highest exponent prime factors to calculate the LCM of 62272 and 62292.

LCM(62272,62292) = 2⁶ × 7¹ × 139¹ × 3¹ × 29¹ × 179¹
LCM(62272,62292) = 969761856