What is the Least Common Multiple of 59485 and 59497?

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 59485 and 59497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59485 and 59497, than apply into the LCM equation.

GCF(59485,59497) = 1
LCM(59485,59497) = ( 59485 × 59497) / 1
LCM(59485,59497) = 3539179045 / 1
LCM(59485,59497) = 3539179045

Least Common Multiple (LCM) of 59485 and 59497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59485 and 59497. First we will calculate the prime factors of 59485 and 59497.

Prime Factorization of 59485

Prime Factorization of 59497

Now multiplying the highest exponent prime factors to calculate the LCM of 59485 and 59497.

LCM(59485,59497) = 5¹ × 11897¹ × 59497¹
LCM(59485,59497) = 3539179045