What is the Least Common Multiple of 32371 and 32378?
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 32371 and 32378 is 1048108238.
LCM(32371,32378) = 1048108238
Least Common Multiple of 32371 and 32378 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32371 and 32378, than apply into the LCM equation.
GCF(32371,32378) = 1
LCM(32371,32378) = ( 32371 × 32378) / 1
LCM(32371,32378) = 1048108238 / 1
LCM(32371,32378) = 1048108238
Least Common Multiple (LCM) of 32371 and 32378 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32371 and 32378. First we will calculate the prime factors of 32371 and 32378.
Prime Factorization of 32371
Prime factors of 32371 are 32371. Prime factorization of 32371 in exponential form is:
32371 = 323711
Prime Factorization of 32378
Prime factors of 32378 are 2, 16189. Prime factorization of 32378 in exponential form is:
32378 = 21 × 161891
Now multiplying the highest exponent prime factors to calculate the LCM of 32371 and 32378.
LCM(32371,32378) = 323711 × 21 × 161891
LCM(32371,32378) = 1048108238
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