What is the Least Common Multiple of 94374 and 94378?
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 94374 and 94378 is 4453414686.
LCM(94374,94378) = 4453414686
Least Common Multiple of 94374 and 94378 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94374 and 94378, than apply into the LCM equation.
GCF(94374,94378) = 2
LCM(94374,94378) = ( 94374 × 94378) / 2
LCM(94374,94378) = 8906829372 / 2
LCM(94374,94378) = 4453414686
Least Common Multiple (LCM) of 94374 and 94378 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94374 and 94378. First we will calculate the prime factors of 94374 and 94378.
Prime Factorization of 94374
Prime factors of 94374 are 2, 3, 7, 107. Prime factorization of 94374 in exponential form is:
94374 = 21 × 32 × 72 × 1071
Prime Factorization of 94378
Prime factors of 94378 are 2, 47189. Prime factorization of 94378 in exponential form is:
94378 = 21 × 471891
Now multiplying the highest exponent prime factors to calculate the LCM of 94374 and 94378.
LCM(94374,94378) = 21 × 32 × 72 × 1071 × 471891
LCM(94374,94378) = 4453414686
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