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What is the Least Common Multiple of 77152 and 77163?

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 77152 and 77163 is 5953279776.

LCM(77152,77163) = 5953279776

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Least Common Multiple of 77152 and 77163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77152 and 77163, than apply into the LCM equation.

GCF(77152,77163) = 1
LCM(77152,77163) = ( 77152 × 77163) / 1
LCM(77152,77163) = 5953279776 / 1
LCM(77152,77163) = 5953279776

Least Common Multiple (LCM) of 77152 and 77163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77152 and 77163. First we will calculate the prime factors of 77152 and 77163.

Prime Factorization of 77152

Prime factors of 77152 are 2, 2411. Prime factorization of 77152 in exponential form is:

77152 = 25 × 24111

Prime Factorization of 77163

Prime factors of 77163 are 3, 17, 89. Prime factorization of 77163 in exponential form is:

77163 = 31 × 172 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 77152 and 77163.

LCM(77152,77163) = 25 × 24111 × 31 × 172 × 891
LCM(77152,77163) = 5953279776