What is the Least Common Multiple of 63172 and 63190?
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 63172 and 63190 is 1995919340.
LCM(63172,63190) = 1995919340
Least Common Multiple of 63172 and 63190 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63172 and 63190, than apply into the LCM equation.
GCF(63172,63190) = 2
LCM(63172,63190) = ( 63172 × 63190) / 2
LCM(63172,63190) = 3991838680 / 2
LCM(63172,63190) = 1995919340
Least Common Multiple (LCM) of 63172 and 63190 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63172 and 63190. First we will calculate the prime factors of 63172 and 63190.
Prime Factorization of 63172
Prime factors of 63172 are 2, 17, 929. Prime factorization of 63172 in exponential form is:
63172 = 22 × 171 × 9291
Prime Factorization of 63190
Prime factors of 63190 are 2, 5, 71, 89. Prime factorization of 63190 in exponential form is:
63190 = 21 × 51 × 711 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 63172 and 63190.
LCM(63172,63190) = 22 × 171 × 9291 × 51 × 711 × 891
LCM(63172,63190) = 1995919340
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