What is the Least Common Multiple of 94462 and 94469?
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 94462 and 94469 is 8923730678.
LCM(94462,94469) = 8923730678
Least Common Multiple of 94462 and 94469 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94462 and 94469, than apply into the LCM equation.
GCF(94462,94469) = 1
LCM(94462,94469) = ( 94462 × 94469) / 1
LCM(94462,94469) = 8923730678 / 1
LCM(94462,94469) = 8923730678
Least Common Multiple (LCM) of 94462 and 94469 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94462 and 94469. First we will calculate the prime factors of 94462 and 94469.
Prime Factorization of 94462
Prime factors of 94462 are 2, 73, 647. Prime factorization of 94462 in exponential form is:
94462 = 21 × 731 × 6471
Prime Factorization of 94469
Prime factors of 94469 are 17, 5557. Prime factorization of 94469 in exponential form is:
94469 = 171 × 55571
Now multiplying the highest exponent prime factors to calculate the LCM of 94462 and 94469.
LCM(94462,94469) = 21 × 731 × 6471 × 171 × 55571
LCM(94462,94469) = 8923730678
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