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What is the Least Common Multiple of 87422 and 87432?

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 87422 and 87432 is 3821740152.

LCM(87422,87432) = 3821740152

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Least Common Multiple of 87422 and 87432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87422 and 87432, than apply into the LCM equation.

GCF(87422,87432) = 2
LCM(87422,87432) = ( 87422 × 87432) / 2
LCM(87422,87432) = 7643480304 / 2
LCM(87422,87432) = 3821740152

Least Common Multiple (LCM) of 87422 and 87432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87422 and 87432. First we will calculate the prime factors of 87422 and 87432.

Prime Factorization of 87422

Prime factors of 87422 are 2, 43711. Prime factorization of 87422 in exponential form is:

87422 = 21 × 437111

Prime Factorization of 87432

Prime factors of 87432 are 2, 3, 3643. Prime factorization of 87432 in exponential form is:

87432 = 23 × 31 × 36431

Now multiplying the highest exponent prime factors to calculate the LCM of 87422 and 87432.

LCM(87422,87432) = 23 × 437111 × 31 × 36431
LCM(87422,87432) = 3821740152