What is the Least Common Multiple of 64888 and 64899?
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 64888 and 64899 is 4211166312.
LCM(64888,64899) = 4211166312
Least Common Multiple of 64888 and 64899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64888 and 64899, than apply into the LCM equation.
GCF(64888,64899) = 1
LCM(64888,64899) = ( 64888 × 64899) / 1
LCM(64888,64899) = 4211166312 / 1
LCM(64888,64899) = 4211166312
Least Common Multiple (LCM) of 64888 and 64899 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64888 and 64899. First we will calculate the prime factors of 64888 and 64899.
Prime Factorization of 64888
Prime factors of 64888 are 2, 8111. Prime factorization of 64888 in exponential form is:
64888 = 23 × 81111
Prime Factorization of 64899
Prime factors of 64899 are 3, 7211. Prime factorization of 64899 in exponential form is:
64899 = 32 × 72111
Now multiplying the highest exponent prime factors to calculate the LCM of 64888 and 64899.
LCM(64888,64899) = 23 × 81111 × 32 × 72111
LCM(64888,64899) = 4211166312
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