What is the Least Common Multiple of 59749 and 59753?

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 59749 and 59753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59749 and 59753, than apply into the LCM equation.

GCF(59749,59753) = 1
LCM(59749,59753) = ( 59749 × 59753) / 1
LCM(59749,59753) = 3570181997 / 1
LCM(59749,59753) = 3570181997

Least Common Multiple (LCM) of 59749 and 59753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59749 and 59753. First we will calculate the prime factors of 59749 and 59753.

Prime Factorization of 59749

Prime Factorization of 59753

Now multiplying the highest exponent prime factors to calculate the LCM of 59749 and 59753.

LCM(59749,59753) = 149¹ × 401¹ × 59753¹
LCM(59749,59753) = 3570181997