What is the Least Common Multiple of 2062 and 2070?
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 2062 and 2070 is 2134170.
LCM(2062,2070) = 2134170
Least Common Multiple of 2062 and 2070 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2062 and 2070, than apply into the LCM equation.
GCF(2062,2070) = 2
LCM(2062,2070) = ( 2062 × 2070) / 2
LCM(2062,2070) = 4268340 / 2
LCM(2062,2070) = 2134170
Least Common Multiple (LCM) of 2062 and 2070 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2062 and 2070. First we will calculate the prime factors of 2062 and 2070.
Prime Factorization of 2062
Prime factors of 2062 are 2, 1031. Prime factorization of 2062 in exponential form is:
2062 = 21 × 10311
Prime Factorization of 2070
Prime factors of 2070 are 2, 3, 5, 23. Prime factorization of 2070 in exponential form is:
2070 = 21 × 32 × 51 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 2062 and 2070.
LCM(2062,2070) = 21 × 10311 × 32 × 51 × 231
LCM(2062,2070) = 2134170
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