What is the Least Common Multiple of 94710 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 94710 and 94714 is 4485181470.
LCM(94710,94714) = 4485181470
Least Common Multiple of 94710 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 94710 and 94714, than apply into the LCM equation.
GCF(94710,94714) = 2
LCM(94710,94714) = ( 94710 × 94714) / 2
LCM(94710,94714) = 8970362940 / 2
LCM(94710,94714) = 4485181470
Least Common Multiple (LCM) of 94710 and 94714 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94710 and 94714. First we will calculate the prime factors of 94710 and 94714.
Prime Factorization of 94710
Prime factors of 94710 are 2, 3, 5, 7, 11, 41. Prime factorization of 94710 in exponential form is:
94710 = 21 × 31 × 51 × 71 × 111 × 411
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 94710 and 94714.
LCM(94710,94714) = 21 × 31 × 51 × 71 × 111 × 411 × 231 × 291 × 711
LCM(94710,94714) = 4485181470
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