What is the Least Common Multiple of 64207 and 64222?
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 64207 and 64222 is 4123501954.
LCM(64207,64222) = 4123501954
Least Common Multiple of 64207 and 64222 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64207 and 64222, than apply into the LCM equation.
GCF(64207,64222) = 1
LCM(64207,64222) = ( 64207 × 64222) / 1
LCM(64207,64222) = 4123501954 / 1
LCM(64207,64222) = 4123501954
Least Common Multiple (LCM) of 64207 and 64222 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64207 and 64222. First we will calculate the prime factors of 64207 and 64222.
Prime Factorization of 64207
Prime factors of 64207 are 11, 13, 449. Prime factorization of 64207 in exponential form is:
64207 = 111 × 131 × 4491
Prime Factorization of 64222
Prime factors of 64222 are 2, 163, 197. Prime factorization of 64222 in exponential form is:
64222 = 21 × 1631 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 64207 and 64222.
LCM(64207,64222) = 111 × 131 × 4491 × 21 × 1631 × 1971
LCM(64207,64222) = 4123501954
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