What is the Least Common Multiple of 94363 and 94376?
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 94363 and 94376 is 8905602488.
LCM(94363,94376) = 8905602488
Least Common Multiple of 94363 and 94376 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94363 and 94376, than apply into the LCM equation.
GCF(94363,94376) = 1
LCM(94363,94376) = ( 94363 × 94376) / 1
LCM(94363,94376) = 8905602488 / 1
LCM(94363,94376) = 8905602488
Least Common Multiple (LCM) of 94363 and 94376 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94363 and 94376. First we will calculate the prime factors of 94363 and 94376.
Prime Factorization of 94363
Prime factors of 94363 are 197, 479. Prime factorization of 94363 in exponential form is:
94363 = 1971 × 4791
Prime Factorization of 94376
Prime factors of 94376 are 2, 47, 251. Prime factorization of 94376 in exponential form is:
94376 = 23 × 471 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 94363 and 94376.
LCM(94363,94376) = 1971 × 4791 × 23 × 471 × 2511
LCM(94363,94376) = 8905602488
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