What is the Least Common Multiple of 67900 and 67914?

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 67900 and 67914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67900 and 67914, than apply into the LCM equation.

GCF(67900,67914) = 14
LCM(67900,67914) = ( 67900 × 67914) / 14
LCM(67900,67914) = 4611360600 / 14
LCM(67900,67914) = 329382900

Least Common Multiple (LCM) of 67900 and 67914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67900 and 67914. First we will calculate the prime factors of 67900 and 67914.

Prime Factorization of 67900

Prime Factorization of 67914

Now multiplying the highest exponent prime factors to calculate the LCM of 67900 and 67914.

LCM(67900,67914) = 2² × 5² × 7³ × 97¹ × 3² × 11¹
LCM(67900,67914) = 329382900