What is the Least Common Multiple of 62550 and 62565?

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 62550 and 62565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62550 and 62565, than apply into the LCM equation.

GCF(62550,62565) = 15
LCM(62550,62565) = ( 62550 × 62565) / 15
LCM(62550,62565) = 3913440750 / 15
LCM(62550,62565) = 260896050

Least Common Multiple (LCM) of 62550 and 62565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62550 and 62565. First we will calculate the prime factors of 62550 and 62565.

Prime Factorization of 62550

Prime Factorization of 62565

Now multiplying the highest exponent prime factors to calculate the LCM of 62550 and 62565.

LCM(62550,62565) = 2¹ × 3² × 5² × 139¹ × 43¹ × 97¹
LCM(62550,62565) = 260896050