What is the Least Common Multiple of 62498 and 62510?

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 62498 and 62510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62498 and 62510, than apply into the LCM equation.

GCF(62498,62510) = 2
LCM(62498,62510) = ( 62498 × 62510) / 2
LCM(62498,62510) = 3906749980 / 2
LCM(62498,62510) = 1953374990

Least Common Multiple (LCM) of 62498 and 62510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62498 and 62510. First we will calculate the prime factors of 62498 and 62510.

Prime Factorization of 62498

Prime Factorization of 62510

Now multiplying the highest exponent prime factors to calculate the LCM of 62498 and 62510.

LCM(62498,62510) = 2¹ × 31249¹ × 5¹ × 7¹ × 19¹ × 47¹
LCM(62498,62510) = 1953374990