What is the Least Common Multiple of 52902 and 52914?

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 52902 and 52914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52902 and 52914, than apply into the LCM equation.

GCF(52902,52914) = 6
LCM(52902,52914) = ( 52902 × 52914) / 6
LCM(52902,52914) = 2799256428 / 6
LCM(52902,52914) = 466542738

Least Common Multiple (LCM) of 52902 and 52914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52902 and 52914. First we will calculate the prime factors of 52902 and 52914.

Prime Factorization of 52902

Prime Factorization of 52914

Now multiplying the highest exponent prime factors to calculate the LCM of 52902 and 52914.

LCM(52902,52914) = 2¹ × 3² × 2939¹ × 8819¹
LCM(52902,52914) = 466542738