What is the Least Common Multiple of 85062 and 85069?
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 85062 and 85069 is 7236139278.
LCM(85062,85069) = 7236139278
Least Common Multiple of 85062 and 85069 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85062 and 85069, than apply into the LCM equation.
GCF(85062,85069) = 1
LCM(85062,85069) = ( 85062 × 85069) / 1
LCM(85062,85069) = 7236139278 / 1
LCM(85062,85069) = 7236139278
Least Common Multiple (LCM) of 85062 and 85069 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85062 and 85069. First we will calculate the prime factors of 85062 and 85069.
Prime Factorization of 85062
Prime factors of 85062 are 2, 3, 14177. Prime factorization of 85062 in exponential form is:
85062 = 21 × 31 × 141771
Prime Factorization of 85069
Prime factors of 85069 are 97, 877. Prime factorization of 85069 in exponential form is:
85069 = 971 × 8771
Now multiplying the highest exponent prime factors to calculate the LCM of 85062 and 85069.
LCM(85062,85069) = 21 × 31 × 141771 × 971 × 8771
LCM(85062,85069) = 7236139278
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