What is the Least Common Multiple of 95062 and 95066?
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 95062 and 95066 is 4518582046.
LCM(95062,95066) = 4518582046
Least Common Multiple of 95062 and 95066 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95062 and 95066, than apply into the LCM equation.
GCF(95062,95066) = 2
LCM(95062,95066) = ( 95062 × 95066) / 2
LCM(95062,95066) = 9037164092 / 2
LCM(95062,95066) = 4518582046
Least Common Multiple (LCM) of 95062 and 95066 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95062 and 95066. First we will calculate the prime factors of 95062 and 95066.
Prime Factorization of 95062
Prime factors of 95062 are 2, 11, 29, 149. Prime factorization of 95062 in exponential form is:
95062 = 21 × 111 × 291 × 1491
Prime Factorization of 95066
Prime factors of 95066 are 2, 47533. Prime factorization of 95066 in exponential form is:
95066 = 21 × 475331
Now multiplying the highest exponent prime factors to calculate the LCM of 95062 and 95066.
LCM(95062,95066) = 21 × 111 × 291 × 1491 × 475331
LCM(95062,95066) = 4518582046
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