What is the Least Common Multiple of 95962 and 95981?
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 95962 and 95981 is 9210528722.
LCM(95962,95981) = 9210528722
Least Common Multiple of 95962 and 95981 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95962 and 95981, than apply into the LCM equation.
GCF(95962,95981) = 1
LCM(95962,95981) = ( 95962 × 95981) / 1
LCM(95962,95981) = 9210528722 / 1
LCM(95962,95981) = 9210528722
Least Common Multiple (LCM) of 95962 and 95981 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95962 and 95981. First we will calculate the prime factors of 95962 and 95981.
Prime Factorization of 95962
Prime factors of 95962 are 2, 47981. Prime factorization of 95962 in exponential form is:
95962 = 21 × 479811
Prime Factorization of 95981
Prime factors of 95981 are 41, 2341. Prime factorization of 95981 in exponential form is:
95981 = 411 × 23411
Now multiplying the highest exponent prime factors to calculate the LCM of 95962 and 95981.
LCM(95962,95981) = 21 × 479811 × 411 × 23411
LCM(95962,95981) = 9210528722
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