What is the Least Common Multiple of 59830 and 59848?

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 59848 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 59848, than apply into the LCM equation.

GCF(59830,59848) = 2
LCM(59830,59848) = ( 59830 × 59848) / 2
LCM(59830,59848) = 3580705840 / 2
LCM(59830,59848) = 1790352920

Least Common Multiple (LCM) of 59830 and 59848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59830 and 59848. First we will calculate the prime factors of 59830 and 59848.

Prime Factorization of 59830

Prime Factorization of 59848

Now multiplying the highest exponent prime factors to calculate the LCM of 59830 and 59848.

LCM(59830,59848) = 2³ × 5¹ × 31¹ × 193¹ × 7481¹
LCM(59830,59848) = 1790352920