What is the Least Common Multiple of 64970 and 64980?
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 64970 and 64980 is 422175060.
LCM(64970,64980) = 422175060
Least Common Multiple of 64970 and 64980 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64970 and 64980, than apply into the LCM equation.
GCF(64970,64980) = 10
LCM(64970,64980) = ( 64970 × 64980) / 10
LCM(64970,64980) = 4221750600 / 10
LCM(64970,64980) = 422175060
Least Common Multiple (LCM) of 64970 and 64980 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64970 and 64980. First we will calculate the prime factors of 64970 and 64980.
Prime Factorization of 64970
Prime factors of 64970 are 2, 5, 73, 89. Prime factorization of 64970 in exponential form is:
64970 = 21 × 51 × 731 × 891
Prime Factorization of 64980
Prime factors of 64980 are 2, 3, 5, 19. Prime factorization of 64980 in exponential form is:
64980 = 22 × 32 × 51 × 192
Now multiplying the highest exponent prime factors to calculate the LCM of 64970 and 64980.
LCM(64970,64980) = 22 × 51 × 731 × 891 × 32 × 192
LCM(64970,64980) = 422175060
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