What is the Least Common Multiple of 94234 and 94253?
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 94234 and 94253 is 8881837202.
LCM(94234,94253) = 8881837202
Least Common Multiple of 94234 and 94253 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94234 and 94253, than apply into the LCM equation.
GCF(94234,94253) = 1
LCM(94234,94253) = ( 94234 × 94253) / 1
LCM(94234,94253) = 8881837202 / 1
LCM(94234,94253) = 8881837202
Least Common Multiple (LCM) of 94234 and 94253 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94234 and 94253. First we will calculate the prime factors of 94234 and 94253.
Prime Factorization of 94234
Prime factors of 94234 are 2, 7, 53, 127. Prime factorization of 94234 in exponential form is:
94234 = 21 × 71 × 531 × 1271
Prime Factorization of 94253
Prime factors of 94253 are 94253. Prime factorization of 94253 in exponential form is:
94253 = 942531
Now multiplying the highest exponent prime factors to calculate the LCM of 94234 and 94253.
LCM(94234,94253) = 21 × 71 × 531 × 1271 × 942531
LCM(94234,94253) = 8881837202
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