What is the Least Common Multiple of 94643 and 94649?
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 94643 and 94649 is 8957865307.
LCM(94643,94649) = 8957865307
Least Common Multiple of 94643 and 94649 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94643 and 94649, than apply into the LCM equation.
GCF(94643,94649) = 1
LCM(94643,94649) = ( 94643 × 94649) / 1
LCM(94643,94649) = 8957865307 / 1
LCM(94643,94649) = 8957865307
Least Common Multiple (LCM) of 94643 and 94649 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94643 and 94649. First we will calculate the prime factors of 94643 and 94649.
Prime Factorization of 94643
Prime factors of 94643 are 31, 43, 71. Prime factorization of 94643 in exponential form is:
94643 = 311 × 431 × 711
Prime Factorization of 94649
Prime factors of 94649 are 94649. Prime factorization of 94649 in exponential form is:
94649 = 946491
Now multiplying the highest exponent prime factors to calculate the LCM of 94643 and 94649.
LCM(94643,94649) = 311 × 431 × 711 × 946491
LCM(94643,94649) = 8957865307
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