What is the Least Common Multiple of 53200 and 53217?

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 53200 and 53217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53200 and 53217, than apply into the LCM equation.

GCF(53200,53217) = 1
LCM(53200,53217) = ( 53200 × 53217) / 1
LCM(53200,53217) = 2831144400 / 1
LCM(53200,53217) = 2831144400

Least Common Multiple (LCM) of 53200 and 53217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53200 and 53217. First we will calculate the prime factors of 53200 and 53217.

Prime Factorization of 53200

Prime Factorization of 53217

Now multiplying the highest exponent prime factors to calculate the LCM of 53200 and 53217.

LCM(53200,53217) = 2⁴ × 5² × 7¹ × 19¹ × 3⁶ × 73¹
LCM(53200,53217) = 2831144400