What is the Least Common Multiple of 95637 and 95642?
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 95637 and 95642 is 9146913954.
LCM(95637,95642) = 9146913954
Least Common Multiple of 95637 and 95642 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95637 and 95642, than apply into the LCM equation.
GCF(95637,95642) = 1
LCM(95637,95642) = ( 95637 × 95642) / 1
LCM(95637,95642) = 9146913954 / 1
LCM(95637,95642) = 9146913954
Least Common Multiple (LCM) of 95637 and 95642 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95637 and 95642. First we will calculate the prime factors of 95637 and 95642.
Prime Factorization of 95637
Prime factors of 95637 are 3, 71, 449. Prime factorization of 95637 in exponential form is:
95637 = 31 × 711 × 4491
Prime Factorization of 95642
Prime factors of 95642 are 2, 17, 29, 97. Prime factorization of 95642 in exponential form is:
95642 = 21 × 171 × 291 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 95637 and 95642.
LCM(95637,95642) = 31 × 711 × 4491 × 21 × 171 × 291 × 971
LCM(95637,95642) = 9146913954
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