What is the Least Common Multiple of 94709 and 94714?
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 94709 and 94714 is 8970268226.
LCM(94709,94714) = 8970268226
Least Common Multiple of 94709 and 94714 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94709 and 94714, than apply into the LCM equation.
GCF(94709,94714) = 1
LCM(94709,94714) = ( 94709 × 94714) / 1
LCM(94709,94714) = 8970268226 / 1
LCM(94709,94714) = 8970268226
Least Common Multiple (LCM) of 94709 and 94714 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94709 and 94714. First we will calculate the prime factors of 94709 and 94714.
Prime Factorization of 94709
Prime factors of 94709 are 94709. Prime factorization of 94709 in exponential form is:
94709 = 947091
Prime Factorization of 94714
Prime factors of 94714 are 2, 23, 29, 71. Prime factorization of 94714 in exponential form is:
94714 = 21 × 231 × 291 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 94709 and 94714.
LCM(94709,94714) = 947091 × 21 × 231 × 291 × 711
LCM(94709,94714) = 8970268226
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