What is the Least Common Multiple of 59830 and 59850?

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 59830 and 59850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59830 and 59850, than apply into the LCM equation.

GCF(59830,59850) = 10
LCM(59830,59850) = ( 59830 × 59850) / 10
LCM(59830,59850) = 3580825500 / 10
LCM(59830,59850) = 358082550

Least Common Multiple (LCM) of 59830 and 59850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59830 and 59850. First we will calculate the prime factors of 59830 and 59850.

Prime Factorization of 59830

Prime Factorization of 59850

Now multiplying the highest exponent prime factors to calculate the LCM of 59830 and 59850.

LCM(59830,59850) = 2¹ × 5² × 31¹ × 193¹ × 3² × 7¹ × 19¹
LCM(59830,59850) = 358082550