What is the Least Common Multiple of 59900 and 59914?

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 59900 and 59914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59900 and 59914, than apply into the LCM equation.

GCF(59900,59914) = 2
LCM(59900,59914) = ( 59900 × 59914) / 2
LCM(59900,59914) = 3588848600 / 2
LCM(59900,59914) = 1794424300

Least Common Multiple (LCM) of 59900 and 59914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59900 and 59914. First we will calculate the prime factors of 59900 and 59914.

Prime Factorization of 59900

Prime Factorization of 59914

Now multiplying the highest exponent prime factors to calculate the LCM of 59900 and 59914.

LCM(59900,59914) = 2² × 5² × 599¹ × 29¹ × 1033¹
LCM(59900,59914) = 1794424300