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What is the Least Common Multiple of 54210 and 54216?

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 (LCM) of 54210 and 54216 is 489841560.

LCM(54210,54216) = 489841560

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Least Common Multiple of 54210 and 54216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54210 and 54216, than apply into the LCM equation.

GCF(54210,54216) = 6
LCM(54210,54216) = ( 54210 × 54216) / 6
LCM(54210,54216) = 2939049360 / 6
LCM(54210,54216) = 489841560

Least Common Multiple (LCM) of 54210 and 54216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54210 and 54216. First we will calculate the prime factors of 54210 and 54216.

Prime Factorization of 54210

Prime factors of 54210 are 2, 3, 5, 13, 139. Prime factorization of 54210 in exponential form is:

54210 = 21 × 31 × 51 × 131 × 1391

Prime Factorization of 54216

Prime factors of 54216 are 2, 3, 251. Prime factorization of 54216 in exponential form is:

54216 = 23 × 33 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 54210 and 54216.

LCM(54210,54216) = 23 × 33 × 51 × 131 × 1391 × 2511
LCM(54210,54216) = 489841560