What is the Least Common Multiple of 1220 and 1234?
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 1220 and 1234 is 752740.
LCM(1220,1234) = 752740
Least Common Multiple of 1220 and 1234 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1220 and 1234, than apply into the LCM equation.
GCF(1220,1234) = 2
LCM(1220,1234) = ( 1220 × 1234) / 2
LCM(1220,1234) = 1505480 / 2
LCM(1220,1234) = 752740
Least Common Multiple (LCM) of 1220 and 1234 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1220 and 1234. First we will calculate the prime factors of 1220 and 1234.
Prime Factorization of 1220
Prime factors of 1220 are 2, 5, 61. Prime factorization of 1220 in exponential form is:
1220 = 22 × 51 × 611
Prime Factorization of 1234
Prime factors of 1234 are 2, 617. Prime factorization of 1234 in exponential form is:
1234 = 21 × 6171
Now multiplying the highest exponent prime factors to calculate the LCM of 1220 and 1234.
LCM(1220,1234) = 22 × 51 × 611 × 6171
LCM(1220,1234) = 752740
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