What is the Least Common Multiple of 64901 and 64910?
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 64901 and 64910 is 4212723910.
LCM(64901,64910) = 4212723910
Least Common Multiple of 64901 and 64910 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64901 and 64910, than apply into the LCM equation.
GCF(64901,64910) = 1
LCM(64901,64910) = ( 64901 × 64910) / 1
LCM(64901,64910) = 4212723910 / 1
LCM(64901,64910) = 4212723910
Least Common Multiple (LCM) of 64901 and 64910 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64901 and 64910. First we will calculate the prime factors of 64901 and 64910.
Prime Factorization of 64901
Prime factors of 64901 are 64901. Prime factorization of 64901 in exponential form is:
64901 = 649011
Prime Factorization of 64910
Prime factors of 64910 are 2, 5, 6491. Prime factorization of 64910 in exponential form is:
64910 = 21 × 51 × 64911
Now multiplying the highest exponent prime factors to calculate the LCM of 64901 and 64910.
LCM(64901,64910) = 649011 × 21 × 51 × 64911
LCM(64901,64910) = 4212723910
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