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What is the Least Common Multiple of 52152 and 52168?

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 52152 and 52168 is 340083192.

LCM(52152,52168) = 340083192

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Least Common Multiple of 52152 and 52168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52152 and 52168, than apply into the LCM equation.

GCF(52152,52168) = 8
LCM(52152,52168) = ( 52152 × 52168) / 8
LCM(52152,52168) = 2720665536 / 8
LCM(52152,52168) = 340083192

Least Common Multiple (LCM) of 52152 and 52168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52152 and 52168. First we will calculate the prime factors of 52152 and 52168.

Prime Factorization of 52152

Prime factors of 52152 are 2, 3, 41, 53. Prime factorization of 52152 in exponential form is:

52152 = 23 × 31 × 411 × 531

Prime Factorization of 52168

Prime factors of 52168 are 2, 6521. Prime factorization of 52168 in exponential form is:

52168 = 23 × 65211

Now multiplying the highest exponent prime factors to calculate the LCM of 52152 and 52168.

LCM(52152,52168) = 23 × 31 × 411 × 531 × 65211
LCM(52152,52168) = 340083192