What is the Least Common Multiple of 95045 and 95062?
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 95045 and 95062 is 9035167790.
LCM(95045,95062) = 9035167790
Least Common Multiple of 95045 and 95062 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95045 and 95062, than apply into the LCM equation.
GCF(95045,95062) = 1
LCM(95045,95062) = ( 95045 × 95062) / 1
LCM(95045,95062) = 9035167790 / 1
LCM(95045,95062) = 9035167790
Least Common Multiple (LCM) of 95045 and 95062 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95045 and 95062. First we will calculate the prime factors of 95045 and 95062.
Prime Factorization of 95045
Prime factors of 95045 are 5, 19009. Prime factorization of 95045 in exponential form is:
95045 = 51 × 190091
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
Now multiplying the highest exponent prime factors to calculate the LCM of 95045 and 95062.
LCM(95045,95062) = 51 × 190091 × 21 × 111 × 291 × 1491
LCM(95045,95062) = 9035167790
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