What is the Least Common Multiple of 19201 and 19216?

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 19201 and 19216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19201 and 19216, than apply into the LCM equation.

GCF(19201,19216) = 1
LCM(19201,19216) = ( 19201 × 19216) / 1
LCM(19201,19216) = 368966416 / 1
LCM(19201,19216) = 368966416

Least Common Multiple (LCM) of 19201 and 19216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19201 and 19216. First we will calculate the prime factors of 19201 and 19216.

Prime Factorization of 19201

Prime Factorization of 19216

Now multiplying the highest exponent prime factors to calculate the LCM of 19201 and 19216.

LCM(19201,19216) = 7¹ × 13¹ × 211¹ × 2⁴ × 1201¹
LCM(19201,19216) = 368966416