What is the Least Common Multiple of 1064 and 1070?
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 1064 and 1070 is 569240.
LCM(1064,1070) = 569240
Least Common Multiple of 1064 and 1070 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1064 and 1070, than apply into the LCM equation.
GCF(1064,1070) = 2
LCM(1064,1070) = ( 1064 × 1070) / 2
LCM(1064,1070) = 1138480 / 2
LCM(1064,1070) = 569240
Least Common Multiple (LCM) of 1064 and 1070 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1064 and 1070. First we will calculate the prime factors of 1064 and 1070.
Prime Factorization of 1064
Prime factors of 1064 are 2, 7, 19. Prime factorization of 1064 in exponential form is:
1064 = 23 × 71 × 191
Prime Factorization of 1070
Prime factors of 1070 are 2, 5, 107. Prime factorization of 1070 in exponential form is:
1070 = 21 × 51 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 1064 and 1070.
LCM(1064,1070) = 23 × 71 × 191 × 51 × 1071
LCM(1064,1070) = 569240
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