What is the Least Common Multiple of 66062 and 66070?
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 66062 and 66070 is 2182358170.
LCM(66062,66070) = 2182358170
Least Common Multiple of 66062 and 66070 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66062 and 66070, than apply into the LCM equation.
GCF(66062,66070) = 2
LCM(66062,66070) = ( 66062 × 66070) / 2
LCM(66062,66070) = 4364716340 / 2
LCM(66062,66070) = 2182358170
Least Common Multiple (LCM) of 66062 and 66070 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66062 and 66070. First we will calculate the prime factors of 66062 and 66070.
Prime Factorization of 66062
Prime factors of 66062 are 2, 17, 29, 67. Prime factorization of 66062 in exponential form is:
66062 = 21 × 171 × 291 × 671
Prime Factorization of 66070
Prime factors of 66070 are 2, 5, 6607. Prime factorization of 66070 in exponential form is:
66070 = 21 × 51 × 66071
Now multiplying the highest exponent prime factors to calculate the LCM of 66062 and 66070.
LCM(66062,66070) = 21 × 171 × 291 × 671 × 51 × 66071
LCM(66062,66070) = 2182358170
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